Consider an experiment in which a fair coin is tossed once and a balanced die is rolled once.
Describe the sample space for this experiment. What is the probability that a head will be
obtained on the coin and an even number will be obtained on the die?
Solution: The sample space contains 12 outcomes, where each outcome comprises a pair with
the rst element H or T (from the toss of the coin), and the second element a number from 1 to
6 (from the roll of the die). Event A = (head on the coin and even number on the die) includes 3
outcomes, speci cally, (H,2), (H,4), and (H,6). Under the assumption of equally likely outcomes
for this nite sample space, Pr(A) = 3/12 = 1/4.
Describe the sample space for this experiment. What is the probability that a head will be
obtained on the coin and an even number will be obtained on the die?
Solution: The sample space contains 12 outcomes, where each outcome comprises a pair with
the rst element H or T (from the toss of the coin), and the second element a number from 1 to
6 (from the roll of the die). Event A = (head on the coin and even number on the die) includes 3
outcomes, speci cally, (H,2), (H,4), and (H,6). Under the assumption of equally likely outcomes
for this nite sample space, Pr(A) = 3/12 = 1/4.
